Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425s |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4298031650390625 = 38 · 510 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-175151,28022573] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:7621:1] |
Generators of the group modulo torsion |
j |
38031021045305569/275074025625 |
j-invariant |
L |
7.5538807799322 |
L(r)(E,1)/r! |
Ω |
0.43963750934183 |
Real period |
R |
2.1477582722755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58275s2 3885a2 |
Quadratic twists by: -3 5 |